Questions: Determine the oxidation number for the indicated element in each of the following substances. S in SO2 Express your answer as a signed integer.

Determine the oxidation number for the indicated element in each of the following substances. S in SO2 Express your answer as a signed integer.
Transcript text: Determine the oxidation number for the indicated element in each of the following substances. \[ \mathrm{S} \text { in } \mathrm{SO}_{2} \] Express your answer as a signed integer.
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Solution

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Solution Steps

Step 1: Understand the Oxidation Number Concept

The oxidation number (or oxidation state) of an element in a compound is a theoretical charge that an atom would have if all bonds to atoms of different elements were 100% ionic. It helps in understanding the electron transfer in redox reactions.

Step 2: Identify Known Oxidation Numbers

In the compound \(\mathrm{SO}_2\), we need to determine the oxidation number of sulfur (\(\mathrm{S}\)). Oxygen (\(\mathrm{O}\)) typically has an oxidation number of \(-2\).

Step 3: Set Up the Equation

The sum of the oxidation numbers in a neutral compound is zero. For \(\mathrm{SO}_2\), the equation is: \[ x + 2(-2) = 0 \] where \(x\) is the oxidation number of sulfur.

Step 4: Solve for the Oxidation Number of Sulfur

Simplify the equation: \[ x - 4 = 0 \] Add 4 to both sides to solve for \(x\): \[ x = 4 \]

Final Answer

The oxidation number of sulfur in \(\mathrm{SO}_2\) is \(\boxed{+4}\).

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